A new approach to solve fully fuzzy transportation problem using triangular fuzzy number (Q2627702)

Summary: In the literature, there are several methods for finding a fuzzy optimal solution to fully fuzzy transportation problems (FFTP). In this paper, a new approach is proposed for solving a fully fuzzy transportation problem. Assuming that the transportation cost, total supply, total demands and also the transportation amount are imprecise in nature. The proposed approach is an extension of popular approach of solving transportation problem (i.e., North West corner method, least cost method, Vogel's approximation method, modified distribution method). The proposed methods are easy to understand and to apply for finding a fuzzy optimal solution to fuzzy transportation problems happening in real-life situations. To illustrate the proposed methods, a fully fuzzy transportation problem is solved using the proposed methods and the obtained results are compared with the results of existing approaches like Kumar's method [\textit{A. Kumar} and \textit{P. Singh}, Ann. Fuzzy Math. Inform. 3, No. 1, 103--118 (2012; Zbl 1301.90104)] and Ezzati method ([\textit{R. Ezzati} et al., ``A new algorithm to solve fully fuzzy linear programming problems using the MOLP problem'', Appl. Math. Model. (2013)].